Question

Find value of x and y

Answer 1

Answer:

x = 17$\sqrt{3}$, y = 34

Step-by-step explanation:

Since the triangle is right use trig ratios to find x and y

note exact values sin30° = $\frac{1}{2}$, tan30° = $\frac{1}{\sqrt{3} }$

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{17}{y}$

multiply both sides by y

y sin30° = 17 ( divide both sides by sin30° )

y = $\frac{17}{\frac{1}{2} }$ = 34

tan30° = $\frac{opposite}{adjacent}$ = $\frac{17}{x}$

multiply both sides by x

x tan30° = 17 ( divide both sides by tan30° )

x = $\frac{17}{\frac{1}{\sqrt{3} } }$ = 17$\sqrt{3}$